heh, pathologist here as well. See my other comment in this thread (1). I did physics, so I don't know what the general pre-med curriculum is like, but I'm not so sure a stats class would necessarily help more than two semesters of calculus when you're up against big data. Understanding integration and continuity are more valuable in the big picture.
My experience has been that big data is more about linear algebra, which is usually several classes beyond entry level calc or stats. You have to be able to reason about arbitrarily large collections of partial differential equations (albeit reduced to difference equations).
For example, if you want to talk about genomics, Durbin's Biologic Sequence Analysis is probably the most foundational text available. It introduces Bayes's theorem on page 8, has stuff that looks suspiciously like calculus on page 40, and is into Markov chains by page 48. They hold off on a formal treatment of entropy until about half-way through the book.
And for phylogenetics, the equivalent books is Felsenstein's Inferring Phylogenies. He introduces linear algebra before integration.
My favorite quote from Felsenstein, particularly germaine for pathologists (surely the taxonomists of medicine):
"Knowing exactly how many tree topologies ... is not particularly important. The point is that there are very large numbers of them. ... one use for the numbers was "to frighten taxonomists."
My experience has been that big data is more about linear algebra, which is usually several classes beyond entry level calc or stats. You have to be able to reason about arbitrarily large collections of partial differential equations (albeit reduced to difference equations).
For example, if you want to talk about genomics, Durbin's Biologic Sequence Analysis is probably the most foundational text available. It introduces Bayes's theorem on page 8, has stuff that looks suspiciously like calculus on page 40, and is into Markov chains by page 48. They hold off on a formal treatment of entropy until about half-way through the book.
And for phylogenetics, the equivalent books is Felsenstein's Inferring Phylogenies. He introduces linear algebra before integration.
My favorite quote from Felsenstein, particularly germaine for pathologists (surely the taxonomists of medicine):
"Knowing exactly how many tree topologies ... is not particularly important. The point is that there are very large numbers of them. ... one use for the numbers was "to frighten taxonomists."
1. https://news.ycombinator.com/item?id=11326178